Abstract
The graviton propagation in an asymmetric background is studied. The background is a configuration in the six-dimensional Salam-Sezgin model, in which a 3-form H-field turned on [JHEP 0910 (2009) 086]. The compact dimensions form a cylindrical space with branes as boundaries. The background gets asymmetry due to the H-field and violates the Lorentz symmetry. We derive the graviton equation in this background and show that it gets massless mode traveling with superluminal speed. A tower of K-K modes exists with a mass gap. On the other hand, it is known that breaking the Lorentz symmetry on an asymmetric background is constrained by the null energy condition. This no-go theorem doesn’t work well in six-dimensional space-times and by this model we provide a counterexample for which the null energy condition is satisfied while the Lorentz symmetry is gravitationally violated.
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Parvizi, S., Rezaee, H. Graviton propagation in an asymmetric warped background: Lorentz violation and the null energy condition. J. High Energ. Phys. 2014, 76 (2014). https://doi.org/10.1007/JHEP08(2014)076
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DOI: https://doi.org/10.1007/JHEP08(2014)076